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Simplifying -1 + 2(-5 + -10x) = 5 + -4(x + 12) -1 + (-5 * 2 + -10x * 2) = 5 + -4(x + 12) -1 + (-10 + -20x) = 5 + -4(x + 12) Combine like terms: -1 + -10 = -11 -11 + -20x = 5 + -4(x + 12) Reorder the terms: -11 + -20x = 5 + -4(12 + x) -11 + -20x = 5 + (12 * -4 + x * -4) -11 + -20x = 5 + (-48 + -4x) Combine like terms: 5 + -48 = -43 -11 + -20x = -43 + -4x Solving -11 + -20x = -43 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -11 + -20x + 4x = -43 + -4x + 4x Combine like terms: -20x + 4x = -16x -11 + -16x = -43 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + -16x = -43 + 0 -11 + -16x = -43 Add '11' to each side of the equation. -11 + 11 + -16x = -43 + 11 Combine like terms: -11 + 11 = 0 0 + -16x = -43 + 11 -16x = -43 + 11 Combine like terms: -43 + 11 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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